224601253331100 has 144 divisors (see below), whose sum is σ = 654598190534400. Its totient is φ = 59455805713920.

The previous prime is 224601253331069. The next prime is 224601253331101. The reversal of 224601253331100 is 1133352106422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224601253331101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360268456 + ... + 360891344.

It is an arithmetic number, because the mean of its divisors is an integer number (4545820767600).

Almost surely, 2^{224601253331100} is an apocalyptic number.

224601253331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224601253331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327299095267200).

224601253331100 is an abundant number, since it is smaller than the sum of its proper divisors (429996937203300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224601253331100 is a wasteful number, since it uses less digits than its factorization.

224601253331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631692 (or 631685 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 224601253331100 in words is "two hundred twenty-four trillion, six hundred one billion, two hundred fifty-three million, three hundred thirty-one thousand, one hundred".